IDEAS home Printed from https://ideas.repec.org/p/cuf/wpaper/533.html
   My bibliography  Save this paper

A Stationary Markov Equilibrium in an OLG Model

Author

Listed:
  • Zhixiang Zhang

    (CEMA, Central University of Finance and Economics)

  • Heng-fu Zou

    (CEMA, Central University of Finance and Economics)

Abstract

This paper provides suffcient conditions on the technology and preferences, under which the optimal savings-consumption policy is unique, and a stationary Markov equilibrium exists for an overlapping generation economy. Comparing with Wang (1993), our conditions on the uniqueness of optimal policy function are more general, and our conditions on the existence of equilibria depend on the exogenous parameters in the model instead of on endogenous variables.

Suggested Citation

  • Zhixiang Zhang & Heng-fu Zou, 2012. "A Stationary Markov Equilibrium in an OLG Model," CEMA Working Papers 533, China Economics and Management Academy, Central University of Finance and Economics.
    • Handle: RePEc:cuf:wpaper:533
    as

    Download full text from publisher

    File URL: http://down.aefweb.net/WorkingPapers/w533.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    2. Wang Yong, 1993. "Stationary Equilibria in an Overlapping Generations Economy with Stochastic Production," Journal of Economic Theory, Elsevier, vol. 61(2), pages 423-435, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kevin Reffett & Olivier Morand, 2008. "Isotone recursive methods for Stationary Markov Equilibra in OLG models with stochastic nonclassical production," 2008 Meeting Papers 470, Society for Economic Dynamics.
    2. Takashi Kamihigashi & John Stachurski, 2014. "Stability Analysis for Random Dynamical Systems in Economics," Discussion Paper Series DP2014-35, Research Institute for Economics & Business Administration, Kobe University.
    3. Martin Barbie & Marten Hillebrand, 2018. "Bubbly Markov equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 627-679, October.
    4. Li, Jinlu & Lin, Shuanglin, 2008. "Existence and uniqueness of steady-state equilibrium in a two-sector overlapping generations model," Journal of Economic Theory, Elsevier, vol. 141(1), pages 255-275, July.
    5. Bishnu, Monisankar, 2010. "Essays on optimal allocation of resources by governments," ISU General Staff Papers 201001010800002441, Iowa State University, Department of Economics.
    6. Cetorelli, Nicola, 2002. "Could Prometheus be bound again? A contribution to the convergence controversy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 29-50, November.
    7. Li, Jinlu & Lin, Shuanglin, 2012. "Existence And Uniqueness Of Steady-State Equilibrium In A Generalized Overlapping Generations Model," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S3), pages 299-311, November.
    8. Hauenschild, Nils, 2002. "Capital Accumulation in a Stochastic Overlapping Generations Model with Social Security," Journal of Economic Theory, Elsevier, vol. 106(1), pages 201-216, September.
    9. Stachurski, John, 2003. "Economic dynamical systems with multiplicative noise," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 135-152, February.
    10. Zhigang Feng & Matthew Hoelle, 2017. "Indeterminacy in stochastic overlapping generations models: real effects in the long run," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 559-585, February.
    11. Morand, Olivier F. & Reffett, Kevin L., 2007. "Stationary Markovian equilibrium in overlapping generation models with stochastic nonclassical production and Markov shocks," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 501-522, April.
    12. Grossmann, Volker, 2008. "Risky human capital investment, income distribution, and macroeconomic dynamics," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 19-42, March.
    13. Rok Spruk, 2021. "Regional convergence and trade liberalization under weak state capacity: evidence from Mexico," European Journal of Comparative Economics, Cattaneo University (LIUC), vol. 18(2), pages 173-216, December.
    14. Jaime Alonso-Carrera & Jordi Caballé & Xavier Raurich, 2007. "Aspirations, Habit Formation, and Bequest Motive," Economic Journal, Royal Economic Society, vol. 117(520), pages 813-836, April.
    15. Momota, Akira & Sakagami, Tomoya & Shibata, Akihisa, 2019. "Reexamination of the Serendipity Theorem from the stability viewpoint," Journal of Demographic Economics, Cambridge University Press, vol. 85(1), pages 43-70, March.
    16. Agnani, Betty & Gutierrez, Maria-Jose & Iza, Amaia, 2005. "Growth in overlapping generation economies with non-renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 387-407, September.
    17. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    18. Thibault, Emmanuel, 2004. "The power of love," Economics Letters, Elsevier, vol. 84(2), pages 183-189, August.
    19. Galor, Oded & Tsiddon, Daniel, 1997. "The Distribution of Human Capital and Economic Growth," Journal of Economic Growth, Springer, vol. 2(1), pages 93-124, March.
    20. Thibault, Emmanuel & Ponthieres, Grégory, 2023. "Life Expectancy, Income and Long-Term Care: The Preston Curve Reexamined," TSE Working Papers 23-1474, Toulouse School of Economics (TSE).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cuf:wpaper:533. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Qiang Gao (email available below). General contact details of provider: https://edirc.repec.org/data/emcufcn.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.